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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 44352.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
44352.p1 | 44352e1 | \([0, 0, 0, -480924, -128379816]\) | \(-610325920583424/55240493\) | \(-1113393790688256\) | \([]\) | \(368640\) | \(1.9267\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 44352.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 44352.p do not have complex multiplication.Modular form 44352.2.a.p
sage: E.q_eigenform(10)